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##### (3) Write 3x Ek-8(2k the following 3 as +Ek-1(4 _ single Sk) summation:

(3) Write 3x Ek-8(2k the following 3 as +Ek-1(4 _ single Sk) summation:...

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##### Comblning powrer scries Tluratha 'reometrkc serkes ro=j&* lor kx] < 1 to fnd the power seties representatian fr 9(r) = ner 4tGive the Intervzl of convergence of the(b) Use tht powcr stric: mpresentation f(z) = In(1 - ~=-4 for -15*<1 find the power serics representation for p(r) = Zr8 In(1 ~ x) Give the interval of convergence of the neir series:

Comblning powrer scries Tluratha 'reometrkc serkes ro=j&* lor kx] < 1 to fnd the power seties representatian fr 9(r) = ner 4t Give the Intervzl of convergence of the (b) Use tht powcr stric: mpresentation f(z) = In(1 - ~=-4 for -15*<1 find the power serics representation for p(r) = Zr...

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##### (Q6) (5 points)(a) Let L(f()) = F(s)_ Find C(eet f ()) _ (5 points) For Pz(D) = D2 + aD + b, show that: Px(D)lektu(t)] = &ktPz(D + k)ult) (10 points)Find the general solution to: Y-[9 w v whcrc y (31 (+) ,42(t)) is coln vector.

(Q6) (5 points)(a) Let L(f()) = F(s)_ Find C(eet f ()) _ (5 points) For Pz(D) = D2 + aD + b, show that: Px(D)lektu(t)] = &ktPz(D + k)ult) (10 points)Find the general solution to: Y-[9 w v whcrc y (31 (+) ,42(t)) is coln vector....

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##### 202012001112024434205JuuY Du9 Ha Wl0u2natural product was synthesized and isolated in pure form A 2.8S5 gram sample of this material dissolved in 25.00 ml of cthanol. and sample of this solution Was placed in # 25,00 cm polarimeter tube. The observed rolation was found to be -34.73". What the Specific Rotation for this material?

202012001112024434205 Juu Y Du 9 Ha Wl 0u2 natural product was synthesized and isolated in pure form A 2.8S5 gram sample of this material dissolved in 25.00 ml of cthanol. and sample of this solution Was placed in # 25,00 cm polarimeter tube. The observed rolation was found to be -34.73". What ...

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##### 16. Write in simplest radical form:a) 2v200 - v98b) V32x _ xV8x + 2 v253xy6 V6-217. Find the domain of the following functions3r- 1 a) f() = X+4 b) g(x) = V4-x18. Solve the following inequalities: express your answer using interval notationa) x-8r+720 b) 2x? _ Sx < 3 3x-!20 r419. Sketch the graph of the following: Using interval notation, state the domain and the range. State the equation(s) of the asymptote(s). Find the X- and y-intercepts where they exist.4) f()=3* '+4b) f(x) log10

16. Write in simplest radical form: a) 2v200 - v98 b) V32x _ xV8x + 2 v25 3xy 6 V6-2 17. Find the domain of the following functions 3r- 1 a) f() = X+4 b) g(x) = V4-x 18. Solve the following inequalities: express your answer using interval notation a) x-8r+720 b) 2x? _ Sx < 3 3x-!20 r4 19. Sketch ...

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##### Let f(x) =vx-X' and Pz(x) be the interpolation polynomial on Xo 0,*1 and X2 = 1. Find the largest value of x1 in (0,1) for which f (0.5) Pz (0.5) 0.25_Suppose that xj = j, for j = 0,1,2,3 and it is known that Po,1 (r) =x + P1z(r) = 3r - anc P12,3(1.5) = 4Find Po,12,3(1.5).

Let f(x) =vx-X' and Pz(x) be the interpolation polynomial on Xo 0,*1 and X2 = 1. Find the largest value of x1 in (0,1) for which f (0.5) Pz (0.5) 0.25_ Suppose that xj = j, for j = 0,1,2,3 and it is known that Po,1 (r) =x + P1z(r) = 3r - anc P12,3(1.5) = 4 Find Po,12,3(1.5)....

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##### Point) Factor the perfect square trinomial x2 8x + 16.

point) Factor the perfect square trinomial x2 8x + 16....

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##### 12 If tan(0) = 5 , 0 < 0 then 2sin(0) equalsPreviewcos(0) equalsPreviewsec(0) equalsPreview

12 If tan(0) = 5 , 0 < 0 then 2 sin(0) equals Preview cos(0) equals Preview sec(0) equals Preview...

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##### Set uP, but do not evaluate an integral for the area of the surface obtained by rotating the curve Y = xe 2 $* < 6 (a) about the X-axis_ Zky V 1 + e-2Y(1 - Y)? dy2#V1 + e-Zy(1 - Y)? dyZrxV 1 + e-2x(1 - x)? dx2rV1+e-2x(1 - x)? dx2rxe-* V1 + e-2r(1 - *)? dx(b) about the Y-axls- 26y V1 + e-2y(1 - Y)i dy2KV1 + e-2*(1 - *)? dx2V1 + e-2y(1 ~Y)2rre V1+ e-2(1 - *)? drh" 2sxV+ e7 -x dx

Set uP, but do not evaluate an integral for the area of the surface obtained by rotating the curve Y = xe 2 $* < 6 (a) about the X-axis_ Zky V 1 + e-2Y(1 - Y)? dy 2#V1 + e-Zy(1 - Y)? dy ZrxV 1 + e-2x(1 - x)? dx 2rV1+e-2x(1 - x)? dx 2rxe-* V1 + e-2r(1 - *)? dx (b) about the Y-axls- 26y V1 + e-2y(1...

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##### The 2's complement of binary 110110 isSelect one:A. 110100B. 101010C. 001010D. 001001

The 2's complement of binary 110110 is Select one: A. 110100 B. 101010 C. 001010 D. 001001...

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##### 5.3.71 Find Ite area of the region bounded by the graph of ((x) = sin x and tne X-axis on the interval [ 21/ 3 3r/4]Tha aroa I3 (Type &n oxect answer, using redicals 8s needed )

5.3.71 Find Ite area of the region bounded by the graph of ((x) = sin x and tne X-axis on the interval [ 21/ 3 3r/4] Tha aroa I3 (Type &n oxect answer, using redicals 8s needed )...

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##### Consider the following dice game, as played at a certain gambling casino: Players 1 and 2 roll a pair of dice in turn. The bank then rolls the dice to determine the outcome according to the following rule: Player $i, i=1,2,$ wins if his roll is strictly greater than the bank's. For $i=1,2,$ let $$ I_{i}=\left\{\begin{array}{ll} 1 & \text { if } i \text { wins } \\ 0 & \text { otherwise } \end{array}\right. $$ and show that $I_{1}$ and $I_{2}$ are positively correlated. Explain why t

Consider the following dice game, as played at a certain gambling casino: Players 1 and 2 roll a pair of dice in turn. The bank then rolls the dice to determine the outcome according to the following rule: Player $i, i=1,2,$ wins if his roll is strictly greater than the bank's. For $i=1,2,$ let...

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##### In $2012,$ the population of Mexico was 115 million and growing $1.09 \%$ annually, while the population of the US was 314 million and growing $0.9 \%$ annually.$^{6}$ (a) Find the Mexican growth rate in people/year in 2012 (b) Find the US growth rate, measured the same way, and use it determine which population was growing faster in 2012

In $2012,$ the population of Mexico was 115 million and growing $1.09 \%$ annually, while the population of the US was 314 million and growing $0.9 \%$ annually.$^{6}$ (a) Find the Mexican growth rate in people/year in 2012 (b) Find the US growth rate, measured the same way, and use it determine whi...

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##### Question 5 (1 point) Saved Sally works at a bookstore: Out of boredom; she keeps track of the number of men and women who visit the store,and the type of book they purchase. The results ofl Iher research based on today's numbers are summarized in the table below:Fiction Non-Fiction Men 61 90 Women 29 30Based on her numbers, what is the probability that a customer selected at random is a man; given (knowing) that the customer purchased a non-fiction book?Note: Tl Only round your final answer

Question 5 (1 point) Saved Sally works at a bookstore: Out of boredom; she keeps track of the number of men and women who visit the store,and the type of book they purchase. The results ofl Iher research based on today's numbers are summarized in the table below: Fiction Non-Fiction Men 61 90 W...

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##### Find the value for $(a) x=2$ and $y=1$ and $(b) x=1$ and $y=5$.$3(x+2 y)$

Find the value for $(a) x=2$ and $y=1$ and $(b) x=1$ and $y=5$. $3(x+2 y)$...

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##### Finel #kc Sol 3 PDE Qzlv u(, 4) = 200 =4Ut U(oo) =lo U x { Variqbles. thc melhod. # Sefaxlimn _ USing

Finel #kc Sol 3 PDE Qzlv u(, 4) = 200 =4Ut U(oo) =lo U x { Variqbles. thc melhod. # Sefaxlimn _ USing...

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##### Given the following experimenta observationsIon solution Ba? + (aq)Fo? + (aq)Pb?+ (aq)Cu?+ (aq)Reacts with none the following metals:Bals)Ba(s) , Fe(s)Ba(s) , Fe(s), Pb(s)List the metal ions in order from strongest to weakest oxidizing agent [2 marks]Write the balanced equation for the redox reaction of copper (II) ions with solid lead, to create solid copper and lead (II) ions [2 marks]

Given the following experimenta observations Ion solution Ba? + (aq) Fo? + (aq) Pb?+ (aq) Cu?+ (aq) Reacts with none the following metals: Bals) Ba(s) , Fe(s) Ba(s) , Fe(s), Pb(s) List the metal ions in order from strongest to weakest oxidizing agent [2 marks] Write the balanced equation for the red...

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##### Finding the Slope of 4 Tangent LineIn Exercises 5-10,find the slope of hetangent line to the graph ofthe function at the given point:fl) = 3(-1,,8)Anerorg() ##+1 (-2 2) I() 22' _ 3, (2,5){6)e5#, (3,-4)f(4) _ 3-4 (0,0)Ht) = 0+4 (1,5)

Finding the Slope of 4 Tangent Line In Exercises 5-10,find the slope of he tangent line to the graph ofthe function at the given point: fl) = 3 (-1,,8) Aneror g() ##+1 (-2 2) I() 22' _ 3, (2,5) {6)e5#, (3,-4) f(4) _ 3-4 (0,0) Ht) = 0+4 (1,5)...